Misty: Difference between revisions

m - parent category
Rework on interval chain
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In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]].  
In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]].  


See [[Misty family]] for more technical data.  
See [[Misty family]] for technical data.  


== Interval chain ==
== Interval chain ==
{| class="wikitable center-1 right-2"
In the following table, odd harmonics 1–21 are in '''bold'''.
 
{| class="wikitable center-1 right-2 right-4 right-6"
|-
|-
! rowspan="2" | #
! rowspan="2" | #
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|-
|-
! Cents*
! Cents*
! Approximate Ratios
! Approx. ratios
! Cents*
! Cents*
! Approximate Ratios
! Approx. ratios
! Cents*
! Cents*
! Approximate Ratios
! Approx. ratios
|-
|-
| 0
| 0
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| '''1/1'''
| '''1/1'''
| 400.0
| 400.0
| 63/50
| 24/19, 34/27
| 800.0
| 800.0
| 100/63
| 19/12, 27/17
|-
|-
| 1
| 1
| 96.9
| 703.1
| 135/128
| '''3/2'''
| 496.9
| 1103.1
| '''4/3'''
| 17/9, 36/19
| 896.9
| 303.1
| 42/25
| '''19/16''', 25/21
|-
|-
| 2
| 2
| 193.7
| 206.1
| 28/25
| '''9/8'''
| 593.7
| 606.1
| 45/32
| 17/12
| 993.7
| 1006.1
| 16/9
| 25/14, 34/19
|-
|-
| 3
| 3
| 290.6
| 909.2
| 32/27
| 27/16
| 690.6
| 109.2
| 112/75
| '''16/15''', '''17/16'''
| 1090.6
| 509.2
| 15/8
| 51/38, 75/56
|-
|-
| 4
| 4
| 387.4
| 412.2
| '''5/4'''
| 19/15
| 787.4
| 812.2
| 63/40
| '''8/5'''
| 1187.4
| 12.2
| 125/63, 448/225
| 126/125, 225/224, …
|-
| 5
| 1115.3
| 19/10, 40/21
| 315.3
| 6/5
| 715.3
| 68/45
|-
| 6
| 618.3
| 10/7
| 1018.3
| 9/5
| 218.3
| 17/15
|-
| 7
| 121.4
| 15/14
| 521.4
| 27/20
| 921.4
| 17/10
|-
| 8
| 824.4
| 45/28
| 24.4
| 64/63, 81/80
| 424.4
| 32/25
|-
| 9
| 327.5
| 76/63, 135/112
| 727.5
| '''32/21'''
| 1127.5
| 48/25
|-
| 10
| 1030.5
| 38/21
| 230.5
| '''8/7'''
| 630.5
| 36/25
|-
| 11
| 533.6
| 19/14
| 933.6
| 12/7
| 133.6
| 27/25
|-
| 12
| 36.7
| 50/49, 57/56
| 436.7
| 9/7
| 836.7
| 34/21
|}
|}
<nowiki />* In 7-limit CTE tuning
<nowiki/>* In 7-limit CWE tuning, octave reduced


== Tunings ==
== Tunings ==
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=== Tuning spectrum ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-